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In this paper, we explicitly obtain the nonrelativistic Breit potential in the bumblebee model arising in the weak gravity limit of the metric-affine bumblebee gravity, coupled to the spinor matter. In this theory, in the lower (second)…

High Energy Physics - Theory · Physics 2025-12-22 C. Furtado , J. R. Nascimento , A. Yu. Petrov , P. Porfirio

In this article we study self-gravitating static solutions of the Einstein-ScalarField system in arbitrary dimensions. We discuss the existence and the non-existence of geodesically complete solutions depending on the form of the scalar…

General Relativity and Quantum Cosmology · Physics 2016-02-02 Martin Reiris

As a vector-tensor theory including nonminimal coupling between the Ricci tensor and a vector field, the bumblebee gravity is a potential theory to test Lorentz symmetry violation. Recently, a new class of numerical spherical black holes in…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Zhan-Feng Mai , Rui Xu , Dicong Liang , Lijing Shao

We obtain an exact slowly rotating Einstein-bumblebee black hole solution by solving the corresponding $rr$ and $t\phi$ components of the gravitational field equations in both cases: A, $b_\mu=(0,b(r),0,0)$; B,…

General Relativity and Quantum Cosmology · Physics 2021-02-19 Chikun Ding , Xiongwen Chen

In Phys.\ Rev.\ D 90 043006 (2014), we proposed a new ghost-free massive spin-two model in flat spacetime. Furthermore, as some extension, we couple the new model with a non-dynamical curved background in Phys.\ Rev.\ D 90 123013 (2014) and…

High Energy Physics - Theory · Physics 2015-08-05 Yuichi Ohara , Satoshi Akagi , Shin'ichi Nojiri

The monopole solution of the Einstein vacuum field equations (Schwarzschild`s solution) in Weyl coordinates involves a metric function that can be interpreted as the gravitational potential of a bar of length $2m$ with constant linear…

General Relativity and Quantum Cosmology · Physics 2013-09-11 J. L. Hernandez-Pastora

In this work, we analyse static spherically symmetric solutions in the framework of mimetic gravity, an extension of general relativity where the conformal degree of freedom of gravity is isolated in a covariant fashion. Here we extend…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini

We consider the subset of gauged maximal supergravities that consists of the SO(n+1) gauge fields A^{ij} and the scalar deformation T^{ij} of the S^n in the spherical reduction of M-theory or type IIB. We focus on the Abelian Cartan…

High Energy Physics - Theory · Physics 2015-06-17 Hai-Shan Liu , H. Lu

In this paper, we present the exact decoupling of the full metric and bumblebee field perturbations in a Schwarzschild-like background. The coupled system reduces to four decoupled master equations, revealing in each parity sector a…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Hui-Fa Liu , Wentao Liu , Yu-Xiao Liu , Qi Su , Ding-fang Zeng

We study a class of static spherically symmetric vacuum solutions in modified teleparallel gravity solving the field equations for a specific model Ansatz, requiring the torsion scalar $T$ to be constant. We discuss the models falling in…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Marco Calzá an Lorenzo Sebastiani

We find the general solution of equations of motion for self-gravitating spherical null dust as a perturbative series in powers of the outgoing matter energy-momentum tensor, with the lowest order term being the Vaidya solution for the…

General Relativity and Quantum Cosmology · Physics 2009-01-16 A. Mikovic

We investigate static and spherically symmetric black hole (BH) solutions in shift-symmetric quadratic-order degenerate higher-order scalar-tensor (DHOST) theories. We allow a nonconstant kinetic term $X=g^{\mu\nu}…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Masato Minamitsuji , James Edholm

By applying a recent method --based on a tetrad formalism in General Relativity and the orthogonal splitting of the Riemann tensor-- to the simple spherical static case, we found that the only static solution with homogeneous energy density…

General Relativity and Quantum Cosmology · Physics 2018-10-24 J. Ospino , J. L. Hernández-Pastora , H. Hernández , L. A. Núñez

In Poincar\'e gauge theory of gravity and in $\overline{\mbox{Poincar\'e}}$ gauge theory of gravity, we give the necessary and sufficient condition in order that the Schwarzschild space-time expressed in terms of the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Toshiharu Kawai , Eisaku Sakane , Takashi Tojo

Whether the Standard Model electroweak vacuum is stable, metastable or unstable depends crucially on the top mass (and, to a lesser extent, on other measurable quantities). These topics are reviewed and updated by taking into account the…

High Energy Physics - Phenomenology · Physics 2018-01-10 Alberto Salvio

This work investigates the influence of the Lorentz symmetry breaking in the bending angle of massive particles and light for bumblebee black hole solutions. The solutions analyzed break the Lorentz symmetry due to a non-zero vacuum…

General Relativity and Quantum Cosmology · Physics 2021-05-18 I. D. D. Carvalho , G. Alencar , W. M. Mendes , R. R. Landim

In this work we investigate analytic static and spherically symmetric solutions of a generalized theory of gravity in the Einstein-Cartan formalism. The main goal consists in analyzing the behavior of the solutions under the influence of a…

General Relativity and Quantum Cosmology · Physics 2018-08-15 F. A. Silveira , R. F. Sobreiro , A. A. Tomaz

We present a general method for the analysis of the stability of static, spherically symmetric solutions to spherically symmetric perturbations in an arbitrary diffeomorphism covariant Lagrangian field theory. Our method involves fixing the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michael D. Seifert , Robert M. Wald

We express the Einstein-Vlasov system in spherical symmetry in terms of a dimensionless momentum variable $z$ (radial over angular momentum). This regularises the limit of massless particles, and in that limit allows us to obtain a reduced…

General Relativity and Quantum Cosmology · Physics 2017-01-04 Carsten Gundlach

A static spherically symmetric wormhole solution for conformal gravity in vacuum is found. The solution possesses a single integration constant which determines the size of the neck connecting two static homogeneous universes of constant…

High Energy Physics - Theory · Physics 2009-07-08 Julio Oliva , David Tempo , Ricardo Troncoso